Download e-book for kindle: A Conceptual Framework for Noise Reduction by Jacob Benesty, Jingdong Chen

By Jacob Benesty, Jingdong Chen

ISBN-10: 3319129546

ISBN-13: 9783319129549

ISBN-10: 3319129554

ISBN-13: 9783319129556

Though noise relief and speech enhancement difficulties were studied for no less than 5 many years, advances in our figuring out and the advance of trustworthy algorithms are extra vital than ever, as they help the layout of adapted recommendations for truly outlined purposes. during this paintings, the authors suggest a conceptual framework that may be utilized to the numerous assorted features of noise relief, supplying a uniform strategy
to monaural and binaural noise relief difficulties, within the time area and within the frequency area, and concerning a unmarried or a number of microphones. additionally, the derivation of optimum filters is simplified, as are the functionality measures used for his or her evaluation.

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42) 58 5 Binaural Noise Reduction in the Time Domain The partial speech intelligibility index measures the amount of the desired signal, x1 (t), that is cancelled by the WL filter. 43) 2 . A high value of υi h implies a high distortion of the estimated desired signal. The speech quality index measures the amount of the residual noise left after the WL filtering process. 44) h H Φv h . φv1 A high value of υq h implies a low quality of the estimated desired signal or a high input SNR. We deduce that the global speech intelligibility index is υi h = (1 − ) υi h + υq h .

1) where Y (k, n), X(k, n), and V (k, n) are the STFTs of y(t), x(t), and v(t), respectively, at frequency bin k ∈ {0, 1, . . , K − 1} and time frame n. In other words, these zero-mean complex random variables are the observation, desired, and noise signals, respectively, in the STFT domain. 4) φX (k, n) = E |X(k, n)| φV (k, n) = E |V (k, n)| Ó The Author(s) 2015 J. Benesty and J. 1007/978-3-319-12955-6_4 31 32 4 Single-Channel Noise Reduction in the STFT Domain are the variances of X(k, n) and V (k, n), respectively.

12) E x2r,1 (t) − E x2r,M +1 (t) + 2jE [xr,1 (t)xr,M +1 (t)] , φx1 where φx1 = E |x1 (t)| 2 is the variance of x1 (t). , γx1 = 0) if and only if E x2r,1 (t) = E x2r,M +1 (t) and E [xr,1 (t)xr,M +1 (t)] = 0. 13) Since the signals xr,1 (t) and xr,M +1 (t) come from the same source, they are in general correlated. 13) should not be true. Therefore, we can safely state that the complex desired signal, x1 (t), is noncircular, and so is the complex microphone signal, y1 (t). , v(t) is a second-order CCRV].

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A Conceptual Framework for Noise Reduction by Jacob Benesty, Jingdong Chen

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